Let's say we have a one parameter family:
dydt=y2+kdydt=y2+k
I want to find the bifurcation value. What does this mean?
It seems like I need to set dy/dt = 0 and then solve for k, but then I get a negative square root:
0=y2+k0=y2+k
y2=−ky2=−k
y=sqrt(−k)y=sqrt(−k)
or
k=−y2
Answer:
Option C is correct.
Best financial approach: pay off debts, save for an emergency, save for retirement.
Step-by-step explanation:
It is better to pay off the debts and then the rest of the money must be kept safe for the emergency because it is not necessary that you will have an emergency condition, it can take place or cannot take place. Then, when these two criteria are full filled then the rest of the money should be kept for the retirement.
Therefore, for the best financial approach :
Answer:
Line A.
Step-by-step explanation:
When you put x as zero into 3x-2, you get 3(0)-2. That equals -2. Therefore, y = -2. When x=0, that is the y-intercept, so the y-intercept is -2. Line A crosses the y-axis at -2, so line A has that y-intercept.
Slope is always y/x. On a graph, that is the number of squares UP over the number of squares ACROSS. Counting, we get, 3 squares up over 1 square across for line A. 3/1= 3. The slope is the number we multiply by x. In the equation, that is 3, because we see 3x, and no sign or space between 2 numbers automatically means we multiply. So line A also has the correct slope.
In linear equations (straight lines), the same slope and y-intercept are enough to tell you that the equation matches the line.
Therefore, the answer is A!
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